I don't know what the "Pro" account is for that host but it appears to be a very budget oriented hosting provider. Typically, with hosts like that you are on a server shared by lots of other websites and sharing access to the same computers that run them all at once.
In your case, there seem to be only 2 others that are hosted using the same web server but without knowing the actual stats for the hosting server I can't say one way or another if its a server issue or something else going on.
By itself, Replete is just a skin on top of Wordpress and WooCommerce which run your shop. Anything that increases performance for Wordpress will increase peformance for your site.